长江大学学报（自科版）2018，Vol.15Issue(21)：35-42,8.
多项式型迭代方程不连续解的构造
On Construction of Discontinuous Solutions for the Polynomial-like Iterative Equation
摘要
Abstract
Studying the solutions of the polynomial-like iterative equation is a significant subject in the research of dynamical systems because it closely relates to the data recovery and the invariant manifolds of systems.Much effort has been made to investigate its continuous and semicontinuous solutions,and many results are obtained.In this paper,firstly,we classify discontinuous self-maps into five subcases,and then with an extension method we give a general construction of discontinuous solutions of the polynomial-like iterative equation for each subcase.At last we apply main results to iterative roots.关键词
多项式型迭代方程/不连续解/迭代根Key words
polynomial-like iterative equation/discontinuous solutions/iterative roots分类
数理科学引用本文复制引用
刘敬华..多项式型迭代方程不连续解的构造[J].长江大学学报（自科版）,2018,15(21):35-42,8.基金项目
NSFC (11661017) （11661017）
The General Item of Lingnan Normal University (ZL1505) （ZL1505）
KSP of Lingnan Normal University (1171518004). （1171518004）
